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13320312243444 = 22323137322588207
BaseRepresentation
bin1100000111010110000001…
…1110101100010011110100
31202011102001110111102202100
43001311200132230103310
53221214444413242234
644155133355342100
72543234516632503
oct301654036542364
952142043442670
1013320312243444
114276127002148
1215b1695751930
1375813ba8848b
143409c6acc83a
1518175a1dd399
hexc1d607ac4f4

13320312243444 has 72 divisors (see below), whose sum is σ = 35696320744448. Its totient is φ = 4180743149760.

The previous prime is 13320312243437. The next prime is 13320312243449. The reversal of 13320312243444 is 44434221302331.

13320312243444 is a `hidden beast` number, since 1 + 3 + 3 + 203 + 1 + 2 + 2 + 4 + 3 + 444 = 666.

It is a super-2 number, since 2×133203122434442 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13320312243399 and 13320312243408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13320312243449) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 161252812 + ... + 161335395.

Almost surely, 213320312243444 is an apocalyptic number.

It is an amenable number.

13320312243444 is an abundant number, since it is smaller than the sum of its proper divisors (22376008501004).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13320312243444 is a wasteful number, since it uses less digits than its factorization.

13320312243444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322588285 (or 322588280 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 13320312243444 its reverse (44434221302331), we get a palindrome (57754533545775).

The spelling of 13320312243444 in words is "thirteen trillion, three hundred twenty billion, three hundred twelve million, two hundred forty-three thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 31 36 37 62 74 93 111 124 148 186 222 279 333 372 444 558 666 1116 1147 1332 2294 3441 4588 6882 10323 13764 20646 41292 322588207 645176414 967764621 1290352828 1935529242 2903293863 3871058484 5806587726 10000234417 11613175452 11935763659 20000468834 23871527318 30000703251 35807290977 40000937668 47743054636 60001406502 71614581954 90002109753 107421872931 120002813004 143229163908 180004219506 214843745862 360008439012 370008673429 429687491724 740017346858 1110026020287 1480034693716 2220052040574 3330078060861 4440104081148 6660156121722 13320312243444